2.6.4 Problem 4 (eq 50)

2.6.4.1 second order ode missing x
2.6.4.2 second order ode can be made integrable
2.6.4.3 Maple
2.6.4.4 Mathematica
2.6.4.5 Sympy
Data Base ID : [19739]
Book : Elementary Differential Equations. By Thornton C. Fry. D Van Nostrand. NY. First Edition (1929)
Book section : Chapter IV. Methods of solution: First order equations. section 33. Problems at page 91
Book problem number : 4 (eq 50)
The problem :
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \phi ^{\prime \prime }&=\frac {4 \pi n c}{\sqrt {v_{0}^{2}+\frac {2 e \left (\phi -V_{0} \right )}{m}}} \end {array} \]

Date solved : Monday, June 15, 2026 at 09:58:19 AM
CAS classification : [[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]
Output folder : 18497_Monday_March_31_2025_05_37_44_PM_3788059